Pith Number

pith:KW4CDICP

pith:2026:KW4CDICPM4LL6MPHXC4QPC6BYS

not attested not anchored not stored refs pending

Long-time behaviour of two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane

Nader Masmoudi, Ning Liu, Weiren Zhao

arxiv:2605.21663 v1 · 2026-05-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW4CDICPM4LL6MPHXC4QPC6BYS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-22T01:03:27.237110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b821a04f6716bf31e7b8b9078bc1c4a0a86d201392d6d347a129df4c03c0ec

Aliases

arxiv: 2605.21663 · arxiv_version: 2605.21663v1 · doi: 10.48550/arxiv.2605.21663 · pith_short_12: KW4CDICPM4LL · pith_short_16: KW4CDICPM4LL6MPH · pith_short_8: KW4CDICP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KW4CDICPM4LL6MPHXC4QPC6BYS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 55b821a04f6716bf31e7b8b9078bc1c4a0a86d201392d6d347a129df4c03c0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a991c827186db0f7c8b9da69d653673342363a191f50ff9f8a730c98b31f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-20T19:15:11Z",
    "title_canon_sha256": "2bff2520c4d10213fe8186d478f5fce27671c91ce1f038ab1ab1936686031619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21663",
    "kind": "arxiv",
    "version": 1
  }
}